3354696000 has 560 divisors, whose sum is σ = 12887626752. Its totient is φ = 860544000.

The previous prime is 3354695951. The next prime is 3354696001. The reversal of 3354696000 is 6964533.

3354696000 is a `hidden beast` number, since 3 + 3 + 5 + 46 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×3354696000² = 22507970504832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354696001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20087917 + ... + 20088083.

Almost surely, 2^3354696000 is an apocalyptic number.

3354696000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443813376).

3354696000 is an abundant number, since it is smaller than the sum of its proper divisors (9532930752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3354696000 is a wasteful number, since it uses less digits than its factorization.

3354696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3354696000 is about 57919.7375684662. The cubic root of 3354696000 is about 1496.9859477157.

The spelling of 3354696000 in words is "three billion, three hundred fifty-four million, six hundred ninety-six thousand".